9x+2x(x-3)=30

Solution for 9x+2x(x-3)=30 equation:

9x+2x(x-3)=30

We move all terms to the left:

9x+2x(x-3)-(30)=0

We multiply parentheses

2x^2+9x-6x-30=0

We add all the numbers together, and all the variables

2x^2+3x-30=0

a = 2; b = 3; c = -30;
Δ = b2-4ac
Δ = 32-4·2·(-30)
Δ = 249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{249}}{2*2}=\frac{-3-\sqrt{249}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{249}}{2*2}=\frac{-3+\sqrt{249}}{4}
$